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Freezing similarity solutions in multi-dimensional Burgers’ Equation

Rottmann-Matthes, Jens

Abstract:
The topic of this paper are similarity solutions occurring in multi-dimensional Burgers’ equation. We present a simple derivation of the symmetries appearing in a family of generalizations of Burgers’ equation in d-space dimensions. These symmetries we use to derive an equivalent partial differential algebraic equation (freezing system) that allows us to do long time simulations and obtain good approximations of similarity solutions by direct forward simulation. The method also allows us without further effort to observe meta-stable behavior near N-wave-like patterns.

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Volltext §
DOI: 10.5445/IR/1000060562
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht/Preprint
Publikationsjahr 2016
Sprache Englisch
Identifikator ISSN: 2365-662X
urn:nbn:de:swb:90-605625
KITopen-ID: 1000060562
Verlag Karlsruher Institut für Technologie (KIT)
Umfang 24 S.
Serie CRC 1173 ; 2016/27
Schlagwörter Similarity solutions, relative equilibria, Burgers’ equation, freezing method, scaling symmetry, meta-stable behavior
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